eFunda: Glossary: Beams: Simply Supported: Uniformly Distributed Load: Four Equal Spans: Aluminum I Beam: 10.00 × 8.646

Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » Aluminum I Beam » 10.00 × 8.646

Aluminum I Beam | Single Span | Two Equal Spans | Three Equal Spans | Four Equal Spans

For a simply supported beam in four equal spans, we compute the displacement at the middle of the first and fourth spans, and the maximum normal stress stress_max

occuring at the second and fourth supports of the beam.

The tabulated data listed in this page are calculated based on the area moment of inertia (I_xx = 132.09 in⁴) for the 10.00 × 8.646 Aluminum I Beam and the typical Young's modulus (E = 1.015 × 10⁷ psi) of Aluminum Alloys. Note that the typical yielding stress Yield

of Aluminum Alloys can range from 4061 to 7.614 × 10⁴ psi. The purpose of this page is to give a rough estimation of the load-bearing capacity of this particular beam, rather than a guideline for designing actual building structures. Please check your local building codes for regulatory requirements.

Note: The weight of the beam itself is not included in the calculation.

Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 3.00 ft
(lbf/ft)	(in)	(psi)
8.65	5.69 × 10^-6	3.79
9.00	5.92 × 10^-6	3.94
10.0	6.58 × 10^-6	4.38
20.0	1.32 × 10^-5	8.76
30.0	1.97 × 10^-5	13.1
40.0	2.63 × 10^-5	17.5
50.0	3.29 × 10^-5	21.9
60.0	3.95 × 10^-5	26.3
70.0	4.60 × 10^-5	30.6
80.0	5.26 × 10^-5	35.0
90.0	5.92 × 10^-5	39.4
100	6.58 × 10^-5	43.8
200	1.32 × 10^-4	87.6
300	1.97 × 10^-4	131
400	2.63 × 10^-4	175
500	3.29 × 10^-4	219
600	3.95 × 10^-4	263
700	4.60 × 10^-4	306
800	5.26 × 10^-4	350
900	5.92 × 10^-4	394
1000	6.58 × 10^-4	438
2000	0.00132	876
3000	0.00197	1310
4000	0.00263	1750
5000	0.00329	2190
6000	0.00395	2630
7000	0.00460	3060
8000	0.00526	3500
9000	0.00592	3940
1.00 × 10⁴	0.00658	4380
2.00 × 10⁴	0.0132	8760
3.00 × 10⁴	0.0197	1.31 × 10⁴
4.00 × 10⁴	0.0263	1.75 × 10⁴
5.00 × 10⁴	0.0329	2.19 × 10⁴
6.00 × 10⁴	0.0395	2.63 × 10⁴
7.00 × 10⁴	0.0460	3.06 × 10⁴
8.00 × 10⁴	0.0526	3.50 × 10⁴
9.00 × 10⁴	0.0592	3.94 × 10⁴
1.00 × 10⁵	0.0658	4.38 × 10⁴
1.74 × 10⁵	0.114	7.61 × 10⁴

Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 5.00 ft
(lbf/ft)	(in)	(psi)
8.65	4.39 × 10^-5	10.5
9.00	4.57 × 10^-5	10.9
10.0	5.07 × 10^-5	12.2
20.0	1.01 × 10^-4	24.3
30.0	1.52 × 10^-4	36.5
40.0	2.03 × 10^-4	48.6
50.0	2.54 × 10^-4	60.8
60.0	3.04 × 10^-4	73.0
70.0	3.55 × 10^-4	85.1
80.0	4.06 × 10^-4	97.3
90.0	4.57 × 10^-4	109
100	5.07 × 10^-4	122
200	0.00101	243
300	0.00152	365
400	0.00203	486
500	0.00254	608
600	0.00304	730
700	0.00355	851
800	0.00406	973
900	0.00457	1090
1000	0.00507	1220
2000	0.0101	2430
3000	0.0152	3650
4000	0.0203	4860
5000	0.0254	6080
6000	0.0304	7300
7000	0.0355	8510
8000	0.0406	9730
9000	0.0457	1.09 × 10⁴
1.00 × 10⁴	0.0507	1.22 × 10⁴
2.00 × 10⁴	0.101	2.43 × 10⁴
3.00 × 10⁴	0.152	3.65 × 10⁴
4.00 × 10⁴	0.203	4.86 × 10⁴
5.00 × 10⁴	0.254	6.08 × 10⁴
6.00 × 10⁴	0.304	7.30 × 10⁴
6.26 × 10⁴	0.318	7.61 × 10⁴

Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 10.0 ft
(lbf/ft)	(in)	(psi)
8.65	7.02 × 10^-4	42.1
9.00	7.31 × 10^-4	43.8
10.0	8.12 × 10^-4	48.6
20.0	0.00162	97.3
30.0	0.00244	146
40.0	0.00325	195
50.0	0.00406	243
60.0	0.00487	292
70.0	0.00568	341
80.0	0.00649	389
90.0	0.00731	438
100	0.00812	486
200	0.0162	973
300	0.0244	1460
400	0.0325	1950
500	0.0406	2430
600	0.0487	2920
700	0.0568	3410
800	0.0649	3890
900	0.0731	4380
1000	0.0812	4860
2000	0.162	9730
3000	0.244	1.46 × 10⁴
4000	0.325	1.95 × 10⁴
5000	0.406	2.43 × 10⁴
6000	0.487	2.92 × 10⁴
7000	0.568	3.41 × 10⁴
8000	0.649	3.89 × 10⁴
9000	0.731	4.38 × 10⁴
1.00 × 10⁴	0.812	4.86 × 10⁴
1.57 × 10⁴	1.27	7.61 × 10⁴

Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 15.0 ft
(lbf/ft)	(in)	(psi)
8.65	0.00355	94.6
9.00	0.00370	98.5
10.0	0.00411	109
20.0	0.00822	219
30.0	0.0123	328
40.0	0.0164	438
50.0	0.0205	547
60.0	0.0247	657
70.0	0.0288	766
80.0	0.0329	876
90.0	0.0370	985
100	0.0411	1090
200	0.0822	2190
300	0.123	3280
400	0.164	4380
500	0.205	5470
600	0.247	6570
700	0.288	7660
800	0.329	8760
900	0.370	9850
1000	0.411	1.09 × 10⁴
2000	0.822	2.19 × 10⁴
3000	1.23	3.28 × 10⁴
4000	1.64	4.38 × 10⁴
5000	2.05	5.47 × 10⁴
6000	2.47	6.57 × 10⁴
6960	2.86	7.61 × 10⁴

Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 20.0 ft
(lbf/ft)	(in)	(psi)
8.65	0.0112	168
9.00	0.0117	175
10.0	0.0130	195
20.0	0.0260	389
30.0	0.0390	584
40.0	0.0520	778
50.0	0.0649	973
60.0	0.0779	1170
70.0	0.0909	1360
80.0	0.104	1560
90.0	0.117	1750
100	0.130	1950
200	0.260	3890
300	0.390	5840
400	0.520	7780
500	0.649	9730
600	0.779	1.17 × 10⁴
700	0.909	1.36 × 10⁴
800	1.04	1.56 × 10⁴
900	1.17	1.75 × 10⁴
1000	1.30	1.95 × 10⁴
2000	2.60	3.89 × 10⁴
3000	3.90	5.84 × 10⁴
3910	5.08	7.61 × 10⁴

Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 25.0 ft
(lbf/ft)	(in)	(psi)
8.65	0.0274	263
9.00	0.0285	274
10.0	0.0317	304
20.0	0.0634	608
30.0	0.0951	912
40.0	0.127	1220
50.0	0.159	1520
60.0	0.190	1820
70.0	0.222	2130
80.0	0.254	2430
90.0	0.285	2740
100	0.317	3040
200	0.634	6080
300	0.951	9120
400	1.27	1.22 × 10⁴
500	1.59	1.52 × 10⁴
600	1.90	1.82 × 10⁴
700	2.22	2.13 × 10⁴
800	2.54	2.43 × 10⁴
900	2.85	2.74 × 10⁴
1000	3.17	3.04 × 10⁴
2000	6.34	6.08 × 10⁴
2500	7.94	7.61 × 10⁴

Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 30.0 ft
(lbf/ft)	(in)	(psi)
8.65	0.0569	379
9.00	0.0592	394
10.0	0.0658	438
20.0	0.132	876
30.0	0.197	1310
40.0	0.263	1750
50.0	0.329	2190
60.0	0.395	2630
70.0	0.460	3060
80.0	0.526	3500
90.0	0.592	3940
100	0.658	4380
200	1.32	8760
300	1.97	1.31 × 10⁴
400	2.63	1.75 × 10⁴
500	3.29	2.19 × 10⁴
600	3.95	2.63 × 10⁴
700	4.60	3.06 × 10⁴
800	5.26	3.50 × 10⁴
900	5.92	3.94 × 10⁴
1000	6.58	4.38 × 10⁴
1740	11.4	7.61 × 10⁴

Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 40.0 ft
(lbf/ft)	(in)	(psi)
8.65	0.180	673
9.00	0.187	701
10.0	0.208	778
20.0	0.416	1560
30.0	0.623	2340
40.0	0.831	3110
50.0	1.04	3890
60.0	1.25	4670
70.0	1.45	5450
80.0	1.66	6230
90.0	1.87	7010
100	2.08	7780
200	4.16	1.56 × 10⁴
300	6.23	2.34 × 10⁴
400	8.31	3.11 × 10⁴
481	10.0	3.75 × 10⁴

Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 50.0 ft
(lbf/ft)	(in)	(psi)
8.65	0.439	1050
9.00	0.457	1090
10.0	0.507	1220
20.0	1.01	2430
30.0	1.52	3650
40.0	2.03	4860
50.0	2.54	6080
60.0	3.04	7300
70.0	3.55	8510
80.0	4.06	9730
90.0	4.57	1.09 × 10⁴
100	5.07	1.22 × 10⁴
197	10.0	2.40 × 10⁴

Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 60.0 ft
(lbf/ft)	(in)	(psi)
8.65	0.910	1510
9.00	0.947	1580
10.0	1.05	1750
20.0	2.10	3500
30.0	3.16	5250
40.0	4.21	7010
50.0	5.26	8760
60.0	6.31	1.05 × 10⁴
70.0	7.36	1.23 × 10⁴
80.0	8.42	1.40 × 10⁴
90.0	9.47	1.58 × 10⁴
95.1	10.0	1.66 × 10⁴

Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 70.0 ft
(lbf/ft)	(in)	(psi)
8.65	1.69	2060
9.00	1.75	2150
10.0	1.95	2380
20.0	3.90	4770
30.0	5.85	7150
40.0	7.80	9540
50.0	9.75	1.19 × 10⁴
51.3	10.0	1.22 × 10⁴

Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 80.0 ft
(lbf/ft)	(in)	(psi)
8.65	2.87	2690
9.00	2.99	2800
10.0	3.33	3110
20.0	6.65	6230
30.0	9.98	9340
30.1	10.0	9360

Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 90.0 ft
(lbf/ft)	(in)	(psi)
8.65	4.60	3410
9.00	4.79	3550
10.0	5.33	3940
18.8	10.0	7400

Aluminum I Beam: 10.00 × 8.646 (10.00 inch tall × 8.646 lbf/ft)
L = 100 ft
(lbf/ft)	(in)	(psi)
8.65	7.02	4210
9.00	7.31	4380
10.0	8.12	4860
12.3	10.0	5990

Additional Information

Area properties of Aluminum I-Beams

Properties of Common Aluminum Alloys

Beam Equations and Euler-Bernoulli Beam Theory

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